Higher angular momentum states of bottomonium in lattice NRQCD

TL;DR

This paper constructs operators for all 20 lattice symmetry combinations to access high angular momentum bottomonium states in lattice QCD, enabling detailed study of their spectrum.

Contribution

It introduces a comprehensive set of bottomonium operators for all lattice symmetry channels, allowing exploration of high angular momentum states as ground states.

Findings

Realistic results for S-, P-, D-, F-, and G-wave bottomonium states.

Successful identification of high angular momentum states on the lattice.

Enhanced understanding of bottomonium spectrum in lattice QCD.

Abstract

On a cubic lattice the zero-momentum meson states have one of 20 possible Lambda^{PC} combinations where Lambda labels the irreducible representation of the octahedral group. Each continuum bottomonium state with specific J^{PC} quantum numbers is contained within one or more of the lattice Lambda^{PC} states. In this work, bottomonium quark-antiquark operators are constructed for all 20 lattice Lambda^{PC} combinations which allows many continuum high angular momentum states to be accessible as ground states of their associated lattice channels. From a dynamical simulation, realistic results are obtained for S-, P-, D-, F- and G-wave bottomonium states.